🏆 China-U.S. Dual-Anchor Three-Factor Gold Valuation Model

Factors: TIPS + China-U.S. Yield Spread + Gold-Oil Ratio · Data since 2016-04-18 · Updated 2026-09-18

Latest Gold Price

4345.93 USD

TIPS: 2.68% | CN_US_Spread: -3.25%

Gold-Oil Ratio: 45.1

Valuation Status

1-Year Percentile 65.9% Fair

Full History Percentile 96.7% Extremely Overvalued

📈 Multi-Window Valuation Percentile Table (since 2016)

WindowPercentileStatus
1-Year65.9%Fair
3-Year88.6%Overvalued
5-Year93.0%Extremely Overvalued
10-Year96.5%Extremely Overvalued
Full History96.7%Extremely Overvalued

💡 How to read: Higher percentile means gold is more expensive relative to the model-implied equilibrium. Full history percentile reflects long-cycle temperature; 1-year percentile captures short-term overheating.
Zone thresholds: >90% (Extremely Overvalued) | 70%-90% (Overvalued) | 30%-70% (Fair) | 10%-30% (Undervalued) | <10% (Extremely Undervalued).

📉 Strategy Backtest & Performance

Valuation-percentile-based strategies have performed well in historical backtests. All strategies use the previous day's valuation percentile to determine today's position, avoiding look-ahead bias.

Strategy Rules

StrategyRebalancing Rule
Buy and HoldAlways fully invested in gold
Linear Position (Full History)Position = 1 - full history percentile
Extreme Timing (Extreme Reversal)Fully long when Extremely Undervalued, zero when Extremely Overvalued, otherwise unchanged
Smart Position (1-Year)Piecewise: q<0.1→3-5q, 0.1~0.3→2.5-5(q-0.1), 0.3~0.7→1.5-2.5(q-0.3), 0.7~0.9→0.5-2(q-0.7), >0.9→0.1
Trend-Cautious FusionSmart Position basis, but position halved when price below 200-day moving average

Performance (2016-04-18 to 2026-09-18)

StrategyTotal ReturnAnnual ReturnSharpe RatioMax Drawdown
Buy and Hold252.5%12.5%0.79-26.6%
Linear Position (Full History)253.5%12.5%1.42-9.8%
Extreme Timing (Extreme Reversal)292.1%13.6%1.11-18.4%
Smart Position (1-Year)1993.4%32.9%1.41-22.6%
Trend-Cautious Fusion2407.2%35.1%1.62-20.4%

📌 Strategy Performance Interpretation:

  • Buy and Hold serves as the benchmark, showing gold's inherent long-term return.
  • Linear Position reduces volatility and drawdowns effectively through the simple "more expensive → lighter position" mechanism, sharply improving the Sharpe ratio.
  • Extreme Timing frequently misses rallies in trending bull markets, indicating the risk of relying solely on extreme thresholds.
  • Smart Position uses an asymmetric piecewise function to moderately leverage when undervalued and heavily cut positions when overvalued, achieving the highest absolute return.
  • Trend-Cautious Fusion adds a trend filter to the Smart Position, delivering the best risk-adjusted return with well-controlled drawdowns—the most practically relevant approach.

📌 Full-cycle robustness: If the backtest is extended to 2006–2026 (including the 2008 financial crisis and the 2011–2015 gold bear market), Smart Position has an annual return of 21.8%, Sharpe 0.78, max drawdown -57.9%, still significantly outperforming Buy and Hold (annual 9.92%, Sharpe 0.56).

Note: Backtests assume zero transaction costs and no financing interest on leverage. Past performance does not guarantee future results. Leverage amplifies losses; practical application requires caution.

📊 Gold vs. Factor Relationships

📌 Chart 1: Gold has risen from about $1,200 to 4346 over the past decade. The current 3-year rolling percentile is 88.6%, in the Extremely Overvalued zone. Central bank gold purchases recently around 55.0 tons/month, providing structural support.

📌 Chart 2: TIPS currently 2.68%, China-U.S. yield spread -3.25%. The gold-oil ratio is 45.1, reflecting how many barrels of WTI one ounce of gold can buy. A rising ratio usually signals heightened risk aversion or divergent inflation expectations.

📊 Residual Trend

📌 Chart 3: Current residual is 0.1879, in the Extremely Overvalued zone. A persistently positive residual suggests gold is driven by structural forces beyond the factors. High residual phases often coincide with extreme market sentiment or geopolitical risk premiums.

🧠 Model Interpretation

Regression Equation: Ln(Gold) = 7.3936 + -0.3007×TIPS + -31.5660×CN_US_Spread + 0.0110×Gold_Oil_Ratio, R²=0.912

Factor Explanations:

  • TIPS (U.S. 10-Year Real Yield): Measures the opportunity cost of holding gold. Rising TIPS → gold under pressure; negative coefficient aligns with classical pricing theory.
  • China-U.S. Yield Spread (CN_US_Spread): China 10Y minus U.S. 10Y, capturing global capital allocation between China and the U.S. When the spread narrows/inverts, capital may shift to gold as a substitute, pushing prices higher.
  • Gold-Oil Ratio (Gold_Oil_Ratio): The ratio of gold to WTI crude oil, reflecting risk aversion and relative commodity valuation. A rising ratio usually signals increasing safe-haven demand.

Bubble Duration:Extremely Overvalued appeared 63 times, avg 11 days, max 117 days

Residual Percentile: Current residual is 0.1879, in the Extremely Overvalued zone. Residual > 0 indicates the price is above the factor-implied equilibrium.

🔬 Collinearity Diagnostics (VIF)

VariableVIFJudgment
TIPS5.49⚠️
CN_US_Spread3.56
Gold_Oil_Ratio2.36

Note: The TIPS factor's VIF is slightly above 5 (5.01) in some data update windows, indicating mild collinearity. Given that its coefficient sign is consistent with economic theory (negative: TIPS up → gold price under pressure) and it remains marginally significant after Newey-West correction (p=0.051), we believe its independent contribution still deserves inclusion in the model. Moreover, minor VIF fluctuations are associated with format switching (CSV/XLSX) of FRED data sources and do not alter the core conclusions of the model.

Rolling Window Robustness: 2-Year: 82.9% | 3-Year: 88.6% | 5-Year: 93.0%

📊 Multi-Period Comparison

PeriodPrice Change3Y Percentile ChangeZone Change
Week4348.35→4345.93 (-0.1%)90.2%→88.6% (-1.6%)Extremely Overvalued→Extremely Overvalued
Month4522.78→4345.93 (-3.9%)88.8%→88.6% (-0.1%)Extremely Overvalued→Extremely Overvalued
Quarter4155.44→4345.93 (+4.6%)90.1%→88.6% (-1.5%)Extremely Overvalued→Extremely Overvalued
Half Year4496.98→4345.93 (-3.4%)99.3%→88.6% (-10.7%)Extremely Overvalued→Extremely Overvalued
Year3644.27→4345.93 (+19.3%)42.9%→88.6% (+45.8%)Fair→Extremely Overvalued

📎 Key Levels: YTD 3Y percentile high 100.0% | low 19.8%; gold price one year ago 3644.27 (YoY +19.3%).

📋 Forward Return Statistics

ZoneSamples1-Month3-Month6-Month
Extremely Undervalued3947.3%24.2%52.6%
Undervalued4267.5%24.0%45.0%
Fair7834.1%12.9%25.3%
Overvalued5896.1%15.3%28.1%
Extremely Overvalued5048.5%27.8%63.9%

⏱️ Valuation Zone Duration Statistics (based on full history percentile)

Currently in Extremely Overvalued state, lasting 33 days. Current full history percentile is 96.7%, within the 90%-100% band, which has lasted 44 days.

Valuation ZoneOccurrencesAvg DurationMinMaxMedian Duration
Extremely Undervalued53 times7.4 d1 d58 d3.0 d
Undervalued150 times2.8 d1 d23 d2.0 d
Fair185 times4.2 d1 d27 d2.0 d
Overvalued129 times4.6 d1 d60 d2.0 d
Extremely Overvalued65 times7.8 d1 d82 d2.0 d

📅 Current Percentile Band Duration

Percentile BandOccurrencesAvg DurationMinMaxMedian Duration
90%-100% (current)76 times8.6 d1 d79 d3.5 d

Tactical Reference: For long-term allocation, wait for full history percentile to drop below 70%; for short-term trading, focus on the 1-year percentile; if the gold-oil ratio surges, be alert to extreme risk aversion.

🕒 Factor Data Freshness

Valuation date is 2026-09-18 00:00:00. Some macro factors have normal lags; the model applies forward fill.

FactorLatest Data DateStatus
London Gold (XAU)2026-09-18✅ Real-time
TIPS Real Yield2026-09-16⚠️ Lag 2-3 days
Shanghai Gold AU99992026-09-15⚠️ Lag 2-3 days
USD/CNY2026-09-17✅ Real-time
China 10-Year Bond2026-09-17✅ Real-time
U.S. 10-Year Bond2026-09-17✅ Real-time
Central Bank Buying2026-07-31📅 Lag 49 days
Gold-Oil Ratio2026-09-18✅ Real-time